The first time I tried to get this achievement it did not unlock as far as I can tell you have to be on an actual track it will not unlock on the drift track. Here is what I did to get this achievement.
Select drive.
Select drift which is on the bottom right.
Change car I used the BMW M3 E30 drift.
Change track I used Brands Hatch - Indy as it is a fairly short track.
I just selected continue until I got the option to start the event.
Accelerate and build up a little speed with
press
and move
to start the drift.
Achievement should unlock, I got notification on my phone but it did not pop on xbox one so just check to make sure it unlocks.